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10131123132 = 22321349144089
BaseRepresentation
bin10010110111101110…
…01010101110111100
3222011001111101020200
421123313022232330
5131222031420012
64353145043500
7506026061064
oct113367125674
928131441220
1010131123132
114329833839
121b68a86590
13c55c0a220
146c17363a4
153e465e3dc
hex25bdcabbc

10131123132 has 72 divisors (see below), whose sum is σ = 27635964720. Its totient is φ = 3110849280.

The previous prime is 10131123091. The next prime is 10131123161. The reversal of 10131123132 is 23132113101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207744 + ... + 251832.

Almost surely, 210131123132 is an apocalyptic number.

10131123132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131123132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13817982360).

10131123132 is an abundant number, since it is smaller than the sum of its proper divisors (17504841588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131123132 is a wasteful number, since it uses less digits than its factorization.

10131123132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44603 (or 44598 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10131123132 its reverse (23132113101), we get a palindrome (33263236233).

The spelling of 10131123132 in words is "ten billion, one hundred thirty-one million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 491 982 1473 1964 2946 4419 5892 6383 8838 12766 17676 19149 25532 38298 44089 57447 76596 88178 114894 132267 176356 229788 264534 396801 529068 573157 793602 1146314 1587204 1719471 2292628 3438942 5158413 6877884 10316826 20633652 21647699 43295398 64943097 86590796 129886194 194829291 259772388 281420087 389658582 562840174 779317164 844260261 1125680348 1688520522 2532780783 3377041044 5065561566 10131123132